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Finding the Fourth Proportional to 23,821.72, 32,873.12 and 13,211.12

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Solution

The fourth proportional to 23,821.72, 32,873.12 and 13,211.12 is: 18,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.72 : 32,873.12 = 13,211.12 : x
  2. Step 2: Convert to fraction form
    23,821.72/32,873.12 = 13,211.12/x
  3. Step 3: Cross multiply
    23,821.72x = 32,873.12 × 13,211.12
  4. Step 4: Simplify right side
    23,821.72x = 434,290,733.09
  5. Step 5: Solve for x
    x = 434,290,733.09/23,821.72
  6. Step 6: Final answer
    x = 18,230.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.